Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.

Response:

354

Detailed explanation:

Answer:

60

Step-by-step explanation:

The function provided is:

The average rate of change of h(t) as time goes from t=a to t=b is expressed as:

This function can be reformulated as:

The rocket's peak height is 231, which occurs at t=3.75 seconds.

The initial launch happens at: t=0

and

The average rate of change from launch to max height is

To identify the most sensible savings goal for Kirk and his family, follow these calculations:

a. $225 per month over 2 years equals $5400 (calculated as 225 * 2 * 12)
b. $200 per month for 3 years totals $7200 (calculated as 200 * 3 * 12)
c. $100 per month across 4 years will give $4800 (calculated as 100 * 4 * 12)
d. $75 saved monthly for 5 years amounts to $4500 (calculated as 75 * 5 * 12)

The optimal savings target would be option b, since $7200 exceeds <span>$6845.</span>

Answer:

(a) 1 in 365 or 0.2740%

(b) 0.8227%

Step-by-step explanation:

(a) For the first person's birthday, the probability that the second person has the same birthday is 1 out of 365, so the chance that the first two share a birthday is:

(b) There are four scenarios possible where at least two individuals share a birthday: first and second, first and third, second and third, all three sharing the same birthday. Hence, the probability that at least two share their birthdays is: